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Finding the Fourth Proportional to 7,871.46, 10,862.64 and 4,334.88

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Solution

The fourth proportional to 7,871.46, 10,862.64 and 4,334.88 is: 5,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.46 : 10,862.64 = 4,334.88 : x
  2. Step 2: Convert to fraction form
    7,871.46/10,862.64 = 4,334.88/x
  3. Step 3: Cross multiply
    7,871.46x = 10,862.64 × 4,334.88
  4. Step 4: Simplify right side
    7,871.46x = 47,088,240.88
  5. Step 5: Solve for x
    x = 47,088,240.88/7,871.46
  6. Step 6: Final answer
    x = 5,982.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.